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Faculty of Mathematics

 

  • 2020 - present: Junior Research Fellow, Trinity College, University of Cambridge.
  • 2016 - 2020: PhD student, DAMTP, CCA, University of Cambridge. 
  • 2015 - 2016: M.Math. (Part III), University of Cambridge.
  • 2012 - 2015: B.A. Maths, University of Cambridge.

This webpage is not kept up to date. Please visit my webpage here

Publications

How to Compute Spectra with Error Control.
MJ Colbrook, B Roman, AC Hansen
– Physical review letters
(2019)
122,
250201
Pseudoergodic operators and periodic boundary conditions.
MJ Colbrook
– Math. Comput.
(2019)
89,
737
The unified transform: A spectral collocation method for acoustic scattering
LJ Ayton, M Colbrook, A Fokas
– 25th AIAA/CEAS Aeroacoustics Conference, 2019
(2019)
On the infinite-dimensional QR algorithm.
M Colbrook, A Hansen
– Numerische Mathematik
(2019)
143,
17
The Unified Transform: A Spectral Collocation Method for Acoustic Scattering
LJ Ayton, M Colbrook, A Fokas
– 25th AIAA/CEAS Aeroacoustics Conference
(2019)
The unified transform for mixed boundary condition problems in unbounded domains (vol 475, 20180605, 2019)
MJ Colbrook, LJ Ayton, AS Fokas
– Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
(2019)
475,
20190201
A Hybrid Analytical-Numerical Technique for Elliptic PDEs.
MJ Colbrook, TS Fokas, P Hashemzadeh
– SIAM Journal on Scientific Computing
(2019)
41,
A1066
The unified transform for mixed boundary condition problems in unbounded domains.
MJ Colbrook, LJ Ayton, AS Fokas
– Proceedings of the Royal Society A
(2019)
475,
20180605
Computing Spectral Measures and Spectral Types: New Algorithms and Classifications.
MJ Colbrook
– CoRR
(2019)
abs/1908.06721,
On the Fokas method for the solution of elliptic problems in both convex and non-convex polygonal domains
MJ Colbrook, N Flyer, B Fornberg
– J. Comput. Phys.
(2018)
374,
996
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